Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2009-part-03 — 175 problems (EN–VI) Question 137

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 137

7 cards with numbers $0$, $1$, $2$, $3$, $4$, $5$, $6$ are given. Peter and Basil make moves in turn taking one card by each move; Peter makes the first move. The player who can construct of his cards a decimal number divisible by $17$ earlier than his opponent is declared as a Winner. Determine which of two players has a winning strategy. (I. Rubanov)